Find the mode from the following table. The following data shows the class and frequency distribution:Class and Frequency Table
Class / वर्ग 0-10 10-20 20-30 30-40 Frequency / आवृत्ति 15 25 30 20
23.33
The mode is determined using the formula for the modal class: Mode = L + [(f₁ - f₀) / (2f₁ - f₀ - f₂)] * h Where: - L is the lower boundary of the modal class, - f₁ is the frequency of the modal class, - f₀ is the frequency of the class before the modal class, - f₂ is the frequency of the class after the modal class, - h is the class width. From the table, the modal class is 20-30, and after substituting the values into the formula, we get the mode as 23.33. Therefore, option 2 is correct.
If the angle between two lines of regression is 90°, then correlation coefficient is:
Scatter diagram for the following data shows __________.
X: 1 2 3 4 5
Y: 9 8 7 6 5
When two judges rank only two individuals, the value of Spearman’s rank correlation coefficient is:
For three random variables \(X_1, X_2\) and \(X_3\), correlation coefficients between pairs are \(r_{12} = \sin^2\theta\), \(r_{13} = \cos\theta\), and \(r_{23} = \sin\theta\). The partial correlation coefficient \(r_{12,3}\) is given by:
Data sets with high kurtosis:
Karl Pearson’s correlation coefficient is also called:
For how many days were the number of road accident patients treated less than 4?
For 120 days, the number of road accident patients treated in the hospital's emergency ward is given below:
| Number of patients / रोगियों की संख्या | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|---|
| Days / दिन | 11 | 16 | 21 | 23 | 20 | 17 | 7 | 5 |
In a pie chart depicting total expenses of a company for the year 2016, raw material had a central angle of 45°. If total expenses were Rs 504 Lakhs, what were the company's expense on raw materials (in Rs lakhs)?
Find P(A'/B'), given P(A) = 3/4, P(B) = 9/20 and P(A∩B) = 1/4?
10% of people in a village are afflicted with a viral disease. What size of sample should be taken to ensure that error of estimation of the proportion is not more than 5% with 95% confidence?
In the case of two variables. the estimated regression equation is ŷ = 60 + 5x. The total sum of squares is 15730 and the sum of squares due to error is 1530. The estimated regression line based on this information is a ______.
If the angle between two lines of regression is 90°, then correlation coefficient is:
Scatter diagram for the following data shows __________.
X: 1 2 3 4 5
Y: 9 8 7 6 5
When two judges rank only two individuals, the value of Spearman’s rank correlation coefficient is:
For three random variables \(X_1, X_2\) and \(X_3\), correlation coefficients between pairs are \(r_{12} = \sin^2\theta\), \(r_{13} = \cos\theta\), and \(r_{23} = \sin\theta\). The partial correlation coefficient \(r_{12,3}\) is given by: